5 May
2020
A new square puzzle
Take any square. Take any random point within the square. Draw straight lines from that point to the midpoints of every side of the square. You will get four quadrilaterals. Three of them have areas of 40 units, 60 units and 80 units. What is the size of the total square?
This is an interesting problem and requires a little visualization and some basic memory of geometry.
Area of square = 700/3
Sharad, it should be a little more. How did you get to 700/3?
256
256
Last quad = 80+40-60=60
Total area 240
230
Deepak Jain nailed it. Sharad, Shishir and Murali, I am intrigued about what approach you took to get different answers. In any case, go to this link for the full answer: https://www.rajibroy.com/?p=20949
(I cannot post pictures in the comment section, so put the answer in the link above)